AN EFFICIENT METHOD TO CALCULATE FIELD THEORIES WITH DYNAMICAL FERMIONS

Marcia G. Do Amaral, M. Kischinhevsky, C. Aragão de Carvalho and F.L. Teixeira
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Marcia G. Do Amaral: Universidade Federal Fluminense—Instituto de Física, Outeiro de São João Batista s/n, 24020, Niterói, Brasil
M. Kischinhevsky: Universidade Federal Fluminense—Instituto de Matemática, Praça do Valonguinho s/n, 24020, Niterói, Brasil
C. Aragão de Carvalho: Departamento de Física—Pontifícia Univ. Católica do Rio de Janeiro, Rua Marques de São Vicente 225, C.P. 38071, Rio de Janeiro, Brasil
F.L. Teixeira: Departamento de Física—Pontifícia Univ. Católica do Rio de Janeiro, Rua Marques de São Vicente 225, C.P. 38071, Rio de Janeiro, Brasil

International Journal of Modern Physics C (IJMPC), 1991, vol. 02, issue 02, 561-600

Abstract: We discuss the application of the Hybrid Monte Carlo method for models that describe conducting polymers, namely the Su-Schrieffer-Heeger and the Krive-Rozhavskii models. We use a fourth order Leap Frog algorithm, in order to decrease the number of Monte Carlo rejections. We also make a detailed study of which solver has the best performance in each phase of the theory as well as the dependence of the acceptance probability as a function of the time step size and other parameters.

Date: 1991
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DOI: 10.1142/S0129183191000895

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